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Finding the Fourth Proportional to 12,957, 17,882.82 and 9,807.72

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Solution

The fourth proportional to 12,957, 17,882.82 and 9,807.72 is: 13,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957 : 17,882.82 = 9,807.72 : x
  2. Step 2: Convert to fraction form
    12,957/17,882.82 = 9,807.72/x
  3. Step 3: Cross multiply
    12,957x = 17,882.82 × 9,807.72
  4. Step 4: Simplify right side
    12,957x = 175,389,691.37
  5. Step 5: Solve for x
    x = 175,389,691.37/12,957
  6. Step 6: Final answer
    x = 13,536.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.